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Finding the Third Proportional to 429,835,253 and 920,970,959

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Solution

The third proportional to 429,835,253 and 920,970,959 is: 1,973,285,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,835,253 : 920,970,959 = 920,970,959 : x
  2. Step 2: Convert to fraction form
    429,835,253/920,970,959 = 920,970,959/x
  3. Step 3: Cross multiply
    429,835,253x = 920,970,959 × 920,970,959
  4. Step 4: Simplify right side
    429,835,253x = 848,187,507,321,379,712
  5. Step 5: Solve for x
    x = 848,187,507,321,379,712/429,835,253
  6. Step 6: Final answer
    x = 1,973,285,116.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.